Mathematics Question Thread

[katnisschung]

another question...

i did i) correctly and got ii)
as either
+ or - (R/3^1/2) (by differentiating once)
but i'm a little confused how to test their nature
i did the second differentiation and subbed it in
but confused....

[Thebarman]

Hey guys, can someone explain to me how to prove that the function y=3 + (x-2)^2 is symmetric about the line x=2?

Thanks

[jakesilove]

what does real solutions mean?
in terms of the attached?
thanks 

Hey! It just means that there are three x-intercepts There are heaps of ways to answer this question; personally, I would sketch the function on the left hand side, and then see for what values of y=k (ie. horizontal line at y=k) the line hits three points of the cubic

[jakesilove]

another question...

i did i) correctly and got ii)
as either
+ or - (R/3^1/2) (by differentiating once)
but i'm a little confused how to test their nature
i did the second differentiation and subbed it in
but confused....

The attachment isn't coming up for me!

[jakesilove]

Hey guys, can someone explain to me how to prove that the function y=3 + (x-2)^2 is symmetric about the line x=2?

Thanks

So, we have the function



And we want to show that this is symmetrical around the vertical line x=2.

Personally, I would just sketch the function and show that it obviously is symmetrical around the line x=2. However, you can also just shift the function to the left two units, and prove that this function is even! Let's try that. The SHIFTED function will be



Now, to prove that something is even, we show that



Clearly, that is true for the above function.

[RuiAce]

Hey guys, can someone explain to me how to prove that the function y=3 + (x-2)^2 is symmetric about the line x=2?

Thanks

So, we have the function



And we want to show that this is symmetrical around the vertical line x=2.

Personally, I would just sketch the function and show that it obviously is symmetrical around the line x=2. However, you can also just shift the function to the left two units, and prove that this function is even! Let's try that. The SHIFTED function will be



Now, to prove that something is even, we show that



Clearly, that is true for the above function.

I don't feel this is really appropriate for 2U though

[katnisschung]

The attachment isn't coming up for me!

[Jerylieiah]

Hey guys, how would you find the primitive function of y=25/(x-2)²
Thanks if someone can help

[kiiaaa]

Hello
so i was doing this question and when i looked at the solution i was completely lost on where did the '3' go? (look where there is the second tick) im just lost on what happened to it and how it happened and was wondering if someone could explain it to me please?
thank you

[jakesilove]

Hey! So, you got the actual roots, but you just weren't sure what to do from there? Remember that the root HAS to be positive, as we're talking about a length. Negative lengths don't make any sense! Once you assume that there is only one root, it is fair to assume that this root is a max.

[jakesilove]

Hey guys, how would you find the primitive function of y=25/(x-2)²
Thanks if someone can help

So we want to find



Here, we simply use the reverse chain rule as the function inside the brackets is linear

[jakesilove]

Hello
so i was doing this question and when i looked at the solution i was completely lost on where did the '3' go? (look where there is the second tick) im just lost on what happened to it and how it happened and was wondering if someone could explain it to me please?
thank you

Just expand the bracket

[cxmplete]

How would I do question 14?

[Jerylieiah]

So we want to find



Here, we simply use the reverse chain rule as the function inside the brackets is linear

Thanks, but the question was actually:



If you could help with this one, it would be much appreciated

[jakesilove]

Thanks, but the question was actually:



If you could help with this one, it would be much appreciated

Answering this question is exactly the same! Just use a negative power.



Again, just an application of the reverse chain rule